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Finding the Fourth Proportional to 457,020.60, 685,725.30 and 220,241.40

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Solution

The fourth proportional to 457,020.60, 685,725.30 and 220,241.40 is: 330,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,020.60 : 685,725.30 = 220,241.40 : x
  2. Step 2: Convert to fraction form
    457,020.60/685,725.30 = 220,241.40/x
  3. Step 3: Cross multiply
    457,020.60x = 685,725.30 × 220,241.40
  4. Step 4: Simplify right side
    457,020.60x = 151,025,100,087.42
  5. Step 5: Solve for x
    x = 151,025,100,087.42/457,020.60
  6. Step 6: Final answer
    x = 330,455.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.